3*(x+5)^(1/2)=-9
(x+5)^(1/2)=-3
x+5=9
x=4
3*(4+5)^(1/2)=-9
3*(9)^(1/2)=-9
3*3=-9
4 is an extraneous solution
Answer:
10/13
Step-by-step explanation:
if this is wrong, im sorry, but im pretty sure its correct
Answer:
The three numbers are 341, 342, and 343
Step-by-step explanation:
We start by assigning X to the first integer. Since they are consecutive, it means that the 2nd number will be X + 1 and the 3rd number will be X + 2 and they should all add up to 1026. Therefore, you can write the equation as follows:
(X) + (X + 1) + (X + 2) = 1026
To solve for X, you first add the integers together and the X variables together. Then you subtract three from each side, followed by dividing by 3 on each side. Here is the work to show our math:
X + X + 1 + X + 2 = 1026
3X + 3 = 1026
3X + 3 - 3 = 1026 - 3
3X = 1023
3X/3 = 1023/3
X = 341
Which means that the first number is 341, the second number is 341 + 1 and the third number is 341 + 2. Therefore, three consecutive integers that add up to 1026 are 341, 342, and 343.
341 + 342 + 343 = 1026
We know our answer is correct because 341 + 342 + 343 equals 1026 as displayed above.
Answer:
x = 10
Explanation:
Using Pythagoras Theorem:
Solve:
8² + 6² = x²
x² = 64 + 36
x² = 100
x = √100
x = 10
